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Starting with the N=8 supersymmetric Yang-Mills theory on D2-branes and incorporating higher-derivative corrections to lowest nontrivial order, we perform a duality to derive the Lorentzian 3-algebra theory along with a set of derivative…

High Energy Physics - Theory · Physics 2009-12-07 Mohsen Alishahiha , Sunil Mukhi

We examine the recently proposed "3-algebra" field theory for multiple M2-branes and show that when a scalar field valued in the 3-algebra develops a vacuum expectation value, the resulting Higgs mechanism has the novel effect of promoting…

High Energy Physics - Theory · Physics 2009-04-02 Sunil Mukhi , Constantinos Papageorgakis

The purpose of this thesis is to explore the properties of multiple coincident M2- and M5-branes. We begin with a review of the BLG and ABJM models of multiple M2-branes and our focus will be on their formulation in terms of 3-algebras. We…

High Energy Physics - Theory · Physics 2012-11-30 Paul Richmond

We consider periodic arrays of M2-branes in the ABJM model in the spirit of a circle compactification to D2-branes in type IIA string theory. The result is a curious formulation of three-dimensional maximally supersymmetric Yang-Mills…

High Energy Physics - Theory · Physics 2015-06-05 Imtak Jeon , Neil Lambert , Paul Richmond

The Bagger--Lambert construction of N = 8 superconformal field theories (SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently realized that an arbitrary semisimple Lie algebra can be incorporated by using a…

High Energy Physics - Theory · Physics 2009-12-10 Miguel A. Bandres , Arthur E. Lipstein , John H. Schwarz

We study the classical geometry associated to fractional D3-branes of type IIB string theory on R^4/Z_2 which provide the gravitational dual for N=2 super Yang-Mills theory in four dimensions. As one can expect from the lack of conformal…

High Energy Physics - Theory · Physics 2010-02-03 M. Bertolini , P. Di Vecchia , M. Frau , A. Lerda , R. Marotta , I. Pesando

We study the low energy behaviour of N=(2,2) supersymmetric gauge theories in 1+1 dimensions, with orthogonal and symplectic gauge groups and matters in the fundamental representation. We observe supersymmetry breaking in super-Yang-Mills…

High Energy Physics - Theory · Physics 2015-03-19 Kentaro Hori

We apply the light-cone hamiltonian approach to D2-brane, and derive the equivalent gauge-invariant Lagrangian. The later appears to be that of three-dimensional Yang-Mills theory, interacting with matter fields, in the special external…

High Energy Physics - Theory · Physics 2009-10-30 R. Manvelyan , A. Melikyan , R. Mkrtchyan

We derive p+1-dimensional (p=1,2) maximally supersymmetric U(N) Yang-Mills theory from the wrapped supermembrane on $R^{11-p}\times T^{p}$ in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super…

High Energy Physics - Theory · Physics 2010-04-05 Shozo Uehara , Satoshi Yamada

We develop and study a D-brane realization of 4D N=2 super Yang-Mills theory. It is a type IIB string theory compactified on R^6\times K3 and containing parallel 7-branes. It can also be regarded as a subsector of Vafa's F-theory…

High Energy Physics - Theory · Physics 2008-02-03 Michael R. Douglas , Miao Li

In previous work we proposed a field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product. In this paper we gauge a symmetry that arises from the algebra's triple product. We then construct a…

High Energy Physics - Theory · Physics 2008-11-26 Jonathan Bagger , Neil Lambert

We study non-supersymmetric SO(3)-invariant deformations of d=3, N=8 super Yang-Mills theory and their type IIA string theory dual. By adding both gaugino mass and scalar mass, dielectric D4-brane potential coincides with D5-brane potential…

High Energy Physics - Theory · Physics 2009-11-07 Changhyun Ahn , Taichi Itoh

We show that a solution of the type IIB supergravity representing D3-branes in the presence of a 2-form background has 16 supersymmetries by explicitly constructing the transformation parameter of unbroken supersymmetry. This solution is…

High Energy Physics - Theory · Physics 2010-04-05 Madoka Nishimura

We derive 4-dimensional N=4 U(N) supersymmetric Yang-Mills theory from a 3-dimensional Chern-Simons-matter theory with product gauge group U(N)^{2n}. The latter describes M2-branes probing an orbifold where a torus emerges in a scaling…

High Energy Physics - Theory · Physics 2009-04-17 Koji Hashimoto , Ta-Sheng Tai , Seiji Terashima

We study the 3-algebraic structure involved in the recently shown M2-branes worldvolume gauge theories. We first extend an arbitrary finite dimensional 3-algebra into an infinite dimensional 3-algebra by adding a mode number to each…

High Energy Physics - Theory · Physics 2023-02-15 Hai Lin

In arXiv:1003.4694, we proposed two models of M-theory, Hermitian 3-algebra model and Lie 3-algebra model. In this paper, we study the Lie 3-algebra model with a Lorentzian Lie 3-algebra. This model is ghost-free despite the Lorentzian…

High Energy Physics - Theory · Physics 2013-04-17 Matsuo Sato

The Born--Infeld-like effective world-volume theory of a single 3-brane is deduced from a manifestly space-time supersymmetric description of the corresponding $D$-brane. This is shown to be invariant under $SL(2,R)$ transformations that…

High Energy Physics - Theory · Physics 2016-09-06 Michael B. Green , Michael Gutperle

We obtain the bosonic D-brane description of toroidally compactified non-trivial M2-branes with the unique property of having a purely discrete supersymmetric regularized spectrum with finite multiplicity. As a byproduct, we generalize the…

High Energy Physics - Theory · Physics 2021-11-09 M. P. Garcia del Moral , C. Las Heras

We construct d<=7 dimensional maximally supersymmetric Yang-Mills theories on a class of curved backgrounds with off-shell supercharges. The off-shell supersymmetry is mainly a generalization of on-shell supersymmetry constructed previously…

High Energy Physics - Theory · Physics 2015-06-11 Masashi Fujitsuka , Masazumi Honda , Yutaka Yoshida

An explicit solution in super Yang-Mills theory, which after T-duality describes two sets of D4-branes at angles, is constructed. The gauge configuration possesses 3/16 unbroken supersymmetry for the equal magnitudes of field strengths, and…

High Energy Physics - Theory · Physics 2009-10-30 Nobuyoshi Ohta , Jian-Ge Zhou
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